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Finding the Fourth Proportional to 140,602.91, 210,639.47 and 69,442.25

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Solution

The fourth proportional to 140,602.91, 210,639.47 and 69,442.25 is: 104,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,602.91 : 210,639.47 = 69,442.25 : x
  2. Step 2: Convert to fraction form
    140,602.91/210,639.47 = 69,442.25/x
  3. Step 3: Cross multiply
    140,602.91x = 210,639.47 × 69,442.25
  4. Step 4: Simplify right side
    140,602.91x = 14,627,277,335.20
  5. Step 5: Solve for x
    x = 14,627,277,335.20/140,602.91
  6. Step 6: Final answer
    x = 104,032.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.